Quantum circuit synthesis with qudit phase gadget method
Shuai Yang, Lihao Xu, Guojing Tian, Xiaoming Sun
TL;DR
The paper presents the quantumarticle LaTeX document class, a dedicated framework for preparing manuscripts for Quantum Journal submissions. It details deep integration with arXiv submission workflows, including sanity checks and mechanisms to disable branding or checks via options like noarxiv and unpublished, as well as a configurable title-click verification feature. It then provides exhaustive guidelines for typesetting, covering title/authors/abstract, sectioning, equations, floats, references, appendices, and plots, along with recommended packages and extensive package options for formatting and compatibility. The work also covers bibliography management (manual, BibTeX, natbib, and biblatex) and how to ensure DOI hyperlinks via Crossref, including specific notes on accessibility and long-form appendices. Finally, it includes practical guidance on contributing to the project, publishing options, and copyright/licensing, aiming to streamline reproducible, standards-compliant Quantum Journal submissions.
Abstract
Current quantum devices have unutilized high-level quantum resources. More and more attention has been paid to the qudit quantum systems with larger than two dimensions to maximize the potential computing power of quantum computation. Then, a natural problem arises: How do we implement quantum algorithms on qudit quantum systems? In this work, we propose a novel qudit phase gadget method for synthesizing the qudit diagonal unitary matrices. This method is suitable for the Noisy Intermediate-Scale Quantum (NISQ) and fault-tolerant eras due to its versatility in different connectivity architectures and the optimality of its resource consumption. The method can work on any connectivity architecture with asymptotic optimal circuit depth and size. For a 10-qutrit diagonal unitary, our algorithm reduces the circuit depth form about 100000 to 500 with 300 ancillary qutrits. Further, this method can be promoted to different quantum circuit synthesis problems, such as quantum state preparation problems, general unitary synthesis problems, etc.